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Finding the Fourth Proportional to 166,461, 229,716.18 and 91,009.50

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Solution

The fourth proportional to 166,461, 229,716.18 and 91,009.50 is: 125,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,461 : 229,716.18 = 91,009.50 : x
  2. Step 2: Convert to fraction form
    166,461/229,716.18 = 91,009.50/x
  3. Step 3: Cross multiply
    166,461x = 229,716.18 × 91,009.50
  4. Step 4: Simplify right side
    166,461x = 20,906,354,683.71
  5. Step 5: Solve for x
    x = 20,906,354,683.71/166,461
  6. Step 6: Final answer
    x = 125,593.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.